Eigenvalues of Words in Two Positive Definite Letters

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dc.creatorHillar, Christopher J
dc.creatorJohnson, Charles R
dc.date2005-11-16
dc.date.accessioned2026-07-07T06:51:20Z
dc.date.available2026-07-07T06:51:20Z
dc.descriptionThe question of whether all words in two real positive definite letters have only positive eigenvalues is addressed and settled (negatively). This question was raised some time ago in connection with a long-standing problem in theoretical physics. A large class of words that do guarantee positive eigenvalues is identified, and considerable evidence is given for the conjecture that no other words do. In the process, a fundamental question about solvability of symmetric word equations is encountered.
dc.description13 pages, SIAM Journal of Matrix Analysis
dc.identifierhttps://arxiv.org/abs/math/0511411
dc.identifierhttp://arxiv.org/abs/math/0511411
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104951
dc.subjectOperator Algebras
dc.subjectRings and Algebras
dc.subject15A24, 15A57; 15A18, 15A90
dc.titleEigenvalues of Words in Two Positive Definite Letters
dc.typetext

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